$6 x^{2}-5 x-6$

Step 1 ：Given the quadratic equation: \(6x^2 - 5x - 6 = 0\)

Step 2 ：Using the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 6\), \(b = -5\), and \(c = -6\)

Step 3 ：Calculate the discriminant: \(\Delta = b^2 - 4ac = (-5)^2 - 4(6)(-6) = 169\)

Step 4 ：Find the roots: \(x_1 = \frac{-(-5) + \sqrt{169}}{2(6)} = 1.5\) and \(x_2 = \frac{-(-5) - \sqrt{169}}{2(6)} \approx -0.67\)

Step 5 ：\(\boxed{x = 1.5, x \approx -0.67}\)